Answer:
Dimensions 30 in x 30 in x 15 in
Surface Area = 2,700 in²
Step-by-step explanation:
Let 'r' be the length of the side of the square base, and 'h' be the height of the bin. The volume is given by:
The total surface area is given by:
Rewriting the surface area function as a function of 'r':
The value of 'r' for which the derivate of the surface area function is zero, is the length for which the area is minimized:
![A=54,000*r^{-1}+r^2\\\frac{dA}{dr}=0= -54,000*r^{-2}+2r\\\frac{54,000}{r^2}=2r\\ r=\sqrt[3]{27,000}\\r=30\ in](https://tex.z-dn.net/?f=A%3D54%2C000%2Ar%5E%7B-1%7D%2Br%5E2%5C%5C%5Cfrac%7BdA%7D%7Bdr%7D%3D0%3D%20-54%2C000%2Ar%5E%7B-2%7D%2B2r%5C%5C%5Cfrac%7B54%2C000%7D%7Br%5E2%7D%3D2r%5C%5C%20r%3D%5Csqrt%5B3%5D%7B27%2C000%7D%5C%5Cr%3D30%5C%20in)
The value of 'h' is:
The dimensions that will ensure the minimum surface area are 30 in x 30 in x 15 in.
The surface area is:
You can make 5 into a fraction, 5/1, meaning there are 5 whole numbers, or simply just 5. You can use the unit fraction 1/3 to represent the 3 being the denominator.
When you mulitply fractions, you multiply straight across.
If the numerator and the denominator do not have a greatest common factor then the faction is in simplest form
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x
=
−
10.975
Answer:
<u><em>x=8.5 </em></u>
Step-by-step explanation:
you have to count the numbers at the top you get 22 then you subtract 22 from 39 that will get you 17 cut 17 in half and you will get 8.5 .so put 8.5 on both of the sides on the bottom.answer <u><em>x equals 8.5</em></u>
